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We discuss the effective interactions of axion supermultiplet, which might beimportant for analyzing the cosmological aspect of supersymmetric axion model.Related to axino cosmology, it is stressed that three seemingly similar butbasically different quantities, the Wilsonian axino-gluino-gluon coupling, the1PI axino-gluino-gluon amplitude, and the PQ anomaly coefficient, should becarefully distinguished from each other for correct analysis of the thermalproduction of axinos in the early Universe. It is then noticed that the 1PIaxino-gluino-gluon amplitude at energy scale p in the range M_\Phi < p < v_{PQ}is suppressed by (M_\Phi ^2)/(p^2) in addition to the well-known suppression byp/(16\pi^2 v_{PQ}), where M_\Phi is the mass of the heaviest PQ-charged andgauge-charged matter supermultiplet in the model, which can be well below thePQ scale v_{PQ}. As a result, axino production at temperature T>M_\Phi isdominated by the production by matter supermultiplet, not by the production bygauge supermultiplet. Still the axino production rate is greatly reduced ifM_\Phi << v_{PQ}, which would make the subsequent cosmology significantlyaltered. This would be most notable in the supersymmetric DFSZ model in whichM_\Phi corresponds to the Higgsino mass which is around the weak scale, howevera similar reduction is possible in the KSVZ model also. We evaluate the relicaxino density for both the DFSZ and KSVZ models while including the axinoproduction in the processes involving the heaviest PQ-charged and gauge-chargedmatter supermultiplet.

Effective interactions of axion supermultiplet and thermal production of axino dark matter